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On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control

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  • Ngo Van Hoa
  • Nguyen Dinh Phu

Abstract

In this paper, we present the existence of extremal solutions of set-valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form , ,  for all  with the monotone iterative technique and we will verify that monotone sequence of approximate solutions converging uniformly to the solution of the problem, that is useful for optimization problems.

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  • Ngo Van Hoa & Nguyen Dinh Phu, 2012. "On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, February.
    • Handle: RePEc:hin:jnlaaa:816218
    DOI: 10.1155/2012/816218
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